On Symbol Error Performance of Probabilistic Shaping in Noise-Limited and Fading Channels

Tilahun Zerihun Gutema; Harald Haas; Wasiu O. Popoola

doi:10.1109/OJCOMS.2023.3278972

On Symbol Error Performance of Probabilistic Shaping in Noise-Limited and Fading Channels

Tilahun Zerihun Gutema, Harald Haas, Wasiu O. Popoola

School of Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

In this work, we present symbol error performance analysis of probabilistic shaping (PS) for wireless communications in noise-limited and fading channels. Two fading models considered are the Rayleigh and log-normal fading channels. The results are corroborated with simulation and compared with the conventional uniformly distributed input symbols. In all channel conditions, PS results in significant reductions in the SNR required to achieve a specific error probability compared to the conventional uniformly shaped symbols. For example, in a noise-limited channel, PS based quadrature amplitude modulation (QAM) signal results in SNR gains of 1.16 dB, 1.41 dB, and 1.52 dB compared to the uniformly distributed QAM symbols at equal entropy rates of 4, 6, and 8 bit/symbol and a symbol error ratio (SER) of 1×10-3.

Original language	English
Pages (from-to)	1218 - 1228
Journal	IEEE Open Journal of the Communications Society
Volume	4
Early online date	25 May 2023
DOIs	https://doi.org/10.1109/OJCOMS.2023.3278972
Publication status	E-pub ahead of print - 25 May 2023

Keywords / Materials (for Non-textual outputs)

Detectors
Error probability
error probability
log-normal fading
Probabilistic shaping (PS)
Quadrature amplitude modulation
Rayleigh channels
Rayleigh fading
Signal to noise ratio
Symbols
Wireless communication
wireless communication

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10.1109/OJCOMS.2023.3278972

https://ieeexplore.ieee.org/document/10136390Licence: Creative Commons: Attribution (CC-BY)

Cite this

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title = "On Symbol Error Performance of Probabilistic Shaping in Noise-Limited and Fading Channels",

abstract = "In this work, we present symbol error performance analysis of probabilistic shaping (PS) for wireless communications in noise-limited and fading channels. Two fading models considered are the Rayleigh and log-normal fading channels. The results are corroborated with simulation and compared with the conventional uniformly distributed input symbols. In all channel conditions, PS results in significant reductions in the SNR required to achieve a specific error probability compared to the conventional uniformly shaped symbols. For example, in a noise-limited channel, PS based quadrature amplitude modulation (QAM) signal results in SNR gains of 1.16 dB, 1.41 dB, and 1.52 dB compared to the uniformly distributed QAM symbols at equal entropy rates of 4, 6, and 8 bit/symbol and a symbol error ratio (SER) of 1×10-3.",

keywords = "Detectors, Error probability, error probability, log-normal fading, Probabilistic shaping (PS), Quadrature amplitude modulation, Rayleigh channels, Rayleigh fading, Signal to noise ratio, Symbols, Wireless communication, wireless communication",

author = "Gutema, {Tilahun Zerihun} and Harald Haas and Popoola, {Wasiu O.}",

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year = "2023",

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doi = "10.1109/OJCOMS.2023.3278972",

language = "English",

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AU - Gutema, Tilahun Zerihun

AU - Haas, Harald

AU - Popoola, Wasiu O.

N1 - Publisher Copyright: Author

PY - 2023/5/25

Y1 - 2023/5/25

N2 - In this work, we present symbol error performance analysis of probabilistic shaping (PS) for wireless communications in noise-limited and fading channels. Two fading models considered are the Rayleigh and log-normal fading channels. The results are corroborated with simulation and compared with the conventional uniformly distributed input symbols. In all channel conditions, PS results in significant reductions in the SNR required to achieve a specific error probability compared to the conventional uniformly shaped symbols. For example, in a noise-limited channel, PS based quadrature amplitude modulation (QAM) signal results in SNR gains of 1.16 dB, 1.41 dB, and 1.52 dB compared to the uniformly distributed QAM symbols at equal entropy rates of 4, 6, and 8 bit/symbol and a symbol error ratio (SER) of 1×10-3.

AB - In this work, we present symbol error performance analysis of probabilistic shaping (PS) for wireless communications in noise-limited and fading channels. Two fading models considered are the Rayleigh and log-normal fading channels. The results are corroborated with simulation and compared with the conventional uniformly distributed input symbols. In all channel conditions, PS results in significant reductions in the SNR required to achieve a specific error probability compared to the conventional uniformly shaped symbols. For example, in a noise-limited channel, PS based quadrature amplitude modulation (QAM) signal results in SNR gains of 1.16 dB, 1.41 dB, and 1.52 dB compared to the uniformly distributed QAM symbols at equal entropy rates of 4, 6, and 8 bit/symbol and a symbol error ratio (SER) of 1×10-3.

KW - Detectors

KW - Error probability

KW - error probability

KW - log-normal fading

KW - Probabilistic shaping (PS)

KW - Quadrature amplitude modulation

KW - Rayleigh channels

KW - Rayleigh fading

KW - Signal to noise ratio

KW - Symbols

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KW - wireless communication

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JO - IEEE Open Journal of the Communications Society

JF - IEEE Open Journal of the Communications Society

ER -

On Symbol Error Performance of Probabilistic Shaping in Noise-Limited and Fading Channels

Abstract

Keywords / Materials (for Non-textual outputs)

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ENLIGHTEM: European Training Network in Low-energy Visible Light IoT Systems

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On Symbol Error Performance of Probabilistic Shaping in Noise-Limited and Fading Channels

Abstract

Keywords / Materials (for Non-textual outputs)

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Other files and links

Fingerprint

Projects

ENLIGHTEM: European Training Network in Low-energy Visible Light IoT Systems

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